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Simplifying 2(3 + -4x) + -2(2x + 6) = x + -11 (3 * 2 + -4x * 2) + -2(2x + 6) = x + -11 (6 + -8x) + -2(2x + 6) = x + -11 Reorder the terms: 6 + -8x + -2(6 + 2x) = x + -11 6 + -8x + (6 * -2 + 2x * -2) = x + -11 6 + -8x + (-12 + -4x) = x + -11 Reorder the terms: 6 + -12 + -8x + -4x = x + -11 Combine like terms: 6 + -12 = -6 -6 + -8x + -4x = x + -11 Combine like terms: -8x + -4x = -12x -6 + -12x = x + -11 Reorder the terms: -6 + -12x = -11 + x Solving -6 + -12x = -11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -12x + -1x = -11 + x + -1x Combine like terms: -12x + -1x = -13x -6 + -13x = -11 + x + -1x Combine like terms: x + -1x = 0 -6 + -13x = -11 + 0 -6 + -13x = -11 Add '6' to each side of the equation. -6 + 6 + -13x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = -11 + 6 -13x = -11 + 6 Combine like terms: -11 + 6 = -5 -13x = -5 Divide each side by '-13'. x = 0.3846153846 Simplifying x = 0.3846153846
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